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Age-Related Preferential Selection Can Promote Cooperation In The Prisoner'S Dilemma Game

Author

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  • ZHEN WANG

    (School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China;
    School of Software Technology, Dalian University of Technology, Dalian, 116621, China)

  • ZHEN WANG

    (Department of Physics, Hong Kong Baptist University, Kowloon Tong, Hong Kong;
    Center for Nonlinear Studies and the Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex systems (Hong Kong), Hong Kong Baptist University, Kowloon Tong, Hong Kong)

  • YUAN-HAN YANG

    (School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China)

  • MING-XING YU

    (School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China)

  • LI-GUO LIAO

    (School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China)

Abstract

In this paper, we introduce an age-related preferential selection mechanism into the prisoner's dilemma game. Under this mechanism, players can select a source of strategy imitation from their neighbors in a biased way proportional to their ages. Tuned by a selection parameter α, the impact of aging on the evolution of cooperation can be very different. The numerical results show that the cooperation will be effectively promoted by adjusting the value of α. By examining the evolution process and spatial patterns for different values of α, it is found that larger α will effectively promote the formation of large scale of cooperator clusters. In addition, the impact of noiseKon the spreading process of cooperation strategy is studied. We find that smallKcan make cooperation monotonously increase with α, while largeKguarantees the optimal existence of cooperation for an intermediate α.

Suggested Citation

  • Zhen Wang & Zhen Wang & Yuan-Han Yang & Ming-Xing Yu & Li-Guo Liao, 2012. "Age-Related Preferential Selection Can Promote Cooperation In The Prisoner'S Dilemma Game," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(02), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:02:n:s0129183112500131
    DOI: 10.1142/S0129183112500131
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    Citations

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    Cited by:

    1. Wang, Yi-Ling, 2013. "Learning ability driven by majority selection enhances spatial reciprocity in prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 96-100.
    2. Tian, Lin-Lin & Li, Ming-Chu & Lu, Kun & Zhao, Xiao-Wei & Wang, Zhen, 2013. "The influence of age-driven investment on cooperation in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 65-70.
    3. Xia, Chengyi & Wang, Juan & Wang, Li & Sun, Shiwen & Sun, Junqing & Wang, Jinsong, 2012. "Role of update dynamics in the collective cooperation on the spatial snowdrift games: Beyond unconditional imitation and replicator dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1239-1245.
    4. Li, Hong-yang & Xiao, Jian & Li, Yu-meng & Wang, Zhen, 2013. "Effects of neighborhood type and size in spatial public goods game on diluted lattice," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 145-153.
    5. Lu, Kun & Wu, Bin & Li, Ming-chu & Wang, Zhen, 2014. "Other-regarding preference causing ping-pong effect in self-questioning game," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 51-58.
    6. Deng, Yunsheng & Zhang, Jihui, 2021. "The role of the preferred neighbor with the expected payoff on cooperation in spatial public goods game under optimal strategy selection mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    7. Wang, Yi-Ling, 2013. "Asymmetric evaluation of fitness enhances spatial reciprocity in social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 76-81.
    8. Yunsheng Deng & Jihui Zhang, 2022. "The choice-decision based on memory and payoff favors cooperation in stag hunt game on interdependent networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(2), pages 1-13, February.
    9. Wang, Zhen & Wu, Bin & Li, Ya-peng & Gao, Hang-xian & Li, Ming-chu, 2013. "Does coveting the performance of neighbors of thy neighbor enhance spatial reciprocity?," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 28-34.
    10. Wang, Zhen & Zhang, Geng-shun & Ding, Hong & Cui, Guang-Hai & Yao, Ye, 2019. "Strategy imitation behavior driven influence adjustment promotes cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    11. Chu, Chen & Zhai, Yao & Mu, Chunjiang & Hu, Die & Li, Tong & Shi, Lei, 2019. "Reputation-based popularity promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    12. Li, Bing & Zhao, Xiaowei & Xia, Haoxiang, 2019. "Promotion of cooperation by Hybrid Migration mechanisms in the Spatial Prisoner’s Dilemma Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 1-8.
    13. Xie, Kai & Liu, Xingwen & Chen, Hao & Yang, Jun, 2022. "Preferential selection and expected payoff drive cooperation in spatial voluntary public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

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